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Vlad1618 [11]
3 years ago
6

If f(x)=2x^6+x^5+32x+32, is (x+2) a factor of f(x).

Mathematics
2 answers:
Greeley [361]3 years ago
8 0

Answer: By the factor theorem if (x + 2) is a factor of f(x) then f(- 2) = 0

f(- 2)

= 2(-2)^{6} + -2)^{5} + 32(- 2) + 32

= 2(64) - 32 - 64 + 32

= 128 - 32 - 64 + 32

= 64 ≠ 0

Hence (x + 2) is not a factor of f(x)

Angelina_Jolie [31]3 years ago
4 0

Answer:

No

Step-by-step explanation:

By the factor theorem if (x + 2) is a factor of f(x) then f(- 2) = 0

f(- 2)

= 2(-2)^{6} + -2)^{5} + 32(- 2) + 32

= 2(64) - 32 - 64 + 32

= 128 - 32 - 64 + 32

= 64 ≠ 0

Hence (x + 2) is not a factor of f(x)

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If x = 2 and y=-3, then -xy^2 =<br> A) -36<br> B) 18<br> C) -12<br> D) - 18
Citrus2011 [14]

Answer:

-18

Step-by-step explanation:

-xy^2 =

Let x=2 and y = -3

-(2) (-3)^2

-2 (9)

-18

4 0
3 years ago
Write an expression for the model. Find the sum. options: a) 2 + (–3); 1 b) –3 + 2; 5 c) 2 + 3; 5 d) 2 + (–3); –1
Dima020 [189]

Answer:

c) 2 + 3 = 5                   TRUE

d) 2 + (–3) = -1              True

Step-by-step explanation:

When adding integers (positive and negative whole numbers), there are three cases:

  • Positive and positive increases and sum is positive. Ex. 4 + 6 = 10
  • Positive and negative where you subtract and take the sign of the larger number. Ex. 3 + -8 = -5 or -3 + 8 = 5
  • Negative and negative decrease and the sum if negative. Ex. -4 + -6 = -10.

Use these rules to simplify each expression.

a) 2 + (–3) = -1 not 1     FALSE

b) –3 + 2 = -1 not 5      FALSE

c) 2 + 3 = 5                   TRUE

d) 2 + (–3) = -1              True

5 0
4 years ago
Match each pair of points to the equation of the line that is parallel to the line passing through the points
julsineya [31]
The answer is(4 -3.5x-15)hope this can help
4 0
3 years ago
Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of the flag pole at an angle of el
7nadin3 [17]

Answer:

15.2 m

Step-by-step explanation:

You need to draw a figure. Start by drawing a horizontal segment approximately 10 cm long; that is the ground. Label the left end point A and the right endpoint B. On the right endpoint, B, go up a short 1 cm vertically. That is 1.5 m, the height of Zaheer. Label that point C. Now from that point draw a horizontal line that ends up above point A. Label that point D. Now go back to point C. Draw a segment up to the left at a 30 deg angle with CD. End the segment vertically above point D. Label that point E. That is the top of the flagpole. Draw a vertical segment down from point E through point D ending at point A. Segment AE is the flagpole. Go back to point C. Move 3 cm to the left on segment CD, and draw a point there and label it F. That is where Zaheer moved to. Now connect point F to point E. That is a 45-deg elevation to point E, the top of the flagpole.

m<EFD = 45 deg

m<EFC = 135 deg

m<FEC = 15 deg

m<ECD = 30 deg

We now use the law of sines to find EC

(sin 15)/10 = (sin 135)/EC

EC = 27.32

Because of the 30-60-90 triangle, ED = EC/2

ED = 13.66

Now we add the height of Zaheer to find AE.

13.66 + 1.5 = 15.16

Answer: 15.2 m

7 0
3 years ago
Is this the correct answer?
andreev551 [17]

Answer:

y = 3x + 5

General Formulas and Concepts:

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define variables</u>

Slope <em>m</em> = 3

y-intercept <em>b</em> = 5

<u>Step 2: Write linear equation</u>

y = 3x + 5

6 0
3 years ago
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